MinT - Information on Result #795972

Information on Result #795972

Digital (151, 216, 531)-net over F₄, using trace code for nets based on digital (7, 72, 177)-net over F₆₄, using

net from sequence [i] based on digital (7, 176)-sequence over F₆₄, using
- Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₆₄ with g(F) = 7 and N(F) ≥ 177, using
  - a function field by GarcÃa and Quoos [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Digital (152, 216, 531)-net over F₄	[i]		t-Expansion
2	Digital (152, 217, 531)-net over F₄	[i]		Net Duplication
3	Digital (151, 215, 531)-net over F₄	[i]		m-Reduction
4	Digital (151, 214, 531)-net over F₄	[i]
5	Digital (151, 213, 531)-net over F₄	[i]
6	Digital (151, 212, 531)-net over F₄	[i]
7	Digital (151, 211, 531)-net over F₄	[i]
8	Digital (151, 210, 531)-net over F₄	[i]
9	Digital (151, 209, 531)-net over F₄	[i]
10	Digital (151, 208, 531)-net over F₄	[i]
11	Digital (151, 207, 531)-net over F₄	[i]
12	Digital (151, 206, 531)-net over F₄	[i]
13	Digital (151, 205, 531)-net over F₄	[i]
14	Digital (151, 204, 531)-net over F₄	[i]
15	Digital (183, 248, 536)-net over F₄	[i]		(u,Â u+v)-Construction for Nets
16	Digital (184, 249, 540)-net over F₄	[i]
17	Digital (185, 250, 541)-net over F₄	[i]
18	Digital (186, 251, 545)-net over F₄	[i]
19	Digital (187, 252, 546)-net over F₄	[i]
20	Digital (188, 253, 548)-net over F₄	[i]
21	Digital (190, 255, 552)-net over F₄	[i]
22	Digital (192, 257, 553)-net over F₄	[i]
23	Digital (193, 258, 558)-net over F₄	[i]
24	Linear OOA(4²¹⁶, 531, F₄, 2, 65) (dual of [(531, 2), 846, 66]-NRT-code)	[i]		Extracting Embedded OOA
25	Linear OOA(4²¹⁶, 531, F₄, 3, 65) (dual of [(531, 3), 1377, 66]-NRT-code)	[i]		Extracting Embedded OOA